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22-Elec-B7 Power Systems Engineering: Undated paper

Nivaar worked solution (AI-drafted; not reviewed by a licensed engineer)

  1. Question 1 Bundle Conductors and ABCD Performance of an 1800 kV Line
  2. Question 2 Reactive Power Sources and a Salient-Pole Operating Table
  3. Question 3 Frequency Change and the Cantilever Transformer Model
  4. Question 4 Bus Types and a Three-Bus Power-Flow Table
  5. Question 5 Three-Phase Bolted Fault on a Meshed Four-Generator System
  6. Question 6 System Grounding of an Industrial Distribution Bus
  7. Question 7 Equal-Area Stability under a Sustained Mid-Line Fault

Start with Question 1 →

Paper format. National Exams, May 2019 — 16-Elec-B7 Power Systems Engineering, 3 hours, open book, any non-communicating calculator permitted. The paper prints seven questions, headed “Problem 1” to “Problem 7”, each carrying printed sub-part splits that total 20 points; the rubric states that any five questions constitute a complete paper, that only the first five questions as they appear in your answer book will be marked, and that all questions are of equal value. All seven are solved in full here, because the set is a study resource rather than a three-hour sitting. page 1 reads “National Exams May 2019” and every page footer reads “16-Elec-B7/May 2019”.

Reference texts. M. E. El-Hawary, Electrical Power Systems: Design and Analysis, rev. ed., IEEE Press / Wiley — the reference text named in the Engineers Canada syllabus for this examination code, and the source of the “cantilever” transformer model used in Problem 3. Supporting texts: J. D. Glover, M. S. Sarma and T. J. Overbye, Power System Analysis and Design, 6th ed.; J. J. Grainger and W. D. Stevenson, Power System Analysis; P. M. Anderson, Analysis of Faulted Power Systems; P. Kundur, Power System Stability and Control. Canadian practice context (grounding philosophy, protection coordination) follows CSA C22.1 and IEEE Std 142 as applied by Canadian utilities and industrial plants.

Note on the printed values. Every number used below is the one the paper prints, including B = j70, Xeq = 3.0 Ω, a utility X0 of 0.1 and a grounding resistor of 8 Ω; the printed paper governs throughout.

Check — three engineering readings that a marker may take differently.

(1) Problem 5. The prose says “the voltage at both sources is 1 p.u.” above a Figure (3) that plainly draws four generators, G1 to G4. Every drawn source is taken at 1.0 pu, which is the only reading that closes the network.

(2) Problem 6. Figure (4-c) draws the 5 000 kVA generator alongside the resistance-grounded utility transformer, while the sentence introducing it mentions only the transformer. The generator is retained for part (e), consistent with the figure. It is ungrounded either way, so it changes only the positive- and negative-sequence networks; the zero-sequence answer is identical under both readings.

(3) Problem 2. “Neglecting armature reaction” cannot mean discarding xd and xq, which are the armature-reaction reactances — the question would then have no data. It is read here in its usual examination sense: neglect saturation and armature resistance, and use the ideal two-reaction model.